A university council wants to determine the need for a new staff room. The council conducted a survey of the staff by randomly speaking to 860 staff members out of 2,844 staff members. The council found that 70% of those surveyed were in favor of building a new staff room. Assuming a 90% confidence level, which statement holds true?



As the sample size is appropriately large, the margin of error is 0.036.


As the sample size is appropriately large, the margin of error is 0.026.


As the sample size is too small, the margin of error is 0.026.


As the sample size is too small, the margin of error cannot be trusted.

To find a margin of error for a sample proportion, these assumptions must be met, where n is the sample size and is the sample proportion.




First rewrite the proportion of positive responses as a decimal number.




Now substitute the sample proportion and the sample size, 860, into the formulas for the assumptions to determine whether they are met.




Both values are greater than 10, so the assumptions are met, and the margin of error can be calculated.


Find the margin of error using this formula, where z is the critical value.




For a 90% confidence level, . Substitute the values of z, n, and into the formula for margin of error and evaluate.

Answer:

70000 :) :) :)

Answer:

70,000

Step-by-step explanation:

69781 = 69700

So now you need to round 700 to 1,000 or 0

If you said 1,000 your correct, this makes the number 60,000 + 10,000 making 70,000

Answer:

A

Step-by-step explanation:

$ 2.26- $0.49

=$1.77 increase from 1960 to 1985

As a decimal- 5.4

As an exact form- 24/5

As a Mixed number- 5 2/5

Hope this helped :T

Answer:

I think it would be A not sure tho

Step-by-step explanation:

Answer:

I do not see all the graphs but it would be the reverse of what is shown for A. graph. The tickets sold to total income would have to be a 1:4 ratio where every 4 dollar leap in the y-axis is a one point (1 unit change in x).

Step-by-step explanation:

Answer:

Below :)

Step-by-step explanation:

The difference of the means would be:

90 - 50 = 40

When finding difference you need to use subtraction.

The difference is 40

The MAD score is 10

"This difference is 4 times the value of the MAD of each data set."

Answer:

-8X^4y^2

Step-by-step explanation:

-2X² × 4X²y²​ = -8X^4y^2

edit to add:

first: multiply the coefficients together:

-2 x 4 = -8

second: add the exponents of X together (when you multiply exponents, you just add them together):

² & ² = ^4

and you have the answer:

-8X^4y^2

Step-by-step explanation:

-2X²×4X²-y²

= -4X × 16X - y

= 64X -y

∠1=45°

∠2=135°

∠3=45°

∠4=135°

Answer:

∠1=45°

∠2=135°

∠3=45°

∠4=135°

Step-by-step explanation:

Answer:

3p <_30

Step-by-step explanation:

Answer:

265/ -95 = -2.789

Step-by-step explanation:

235 - - 30 /5 - 100

two negatives equal a positive +

265/5 - 100

265/-95

-2.789

Answer:

7 3/4

Step-by-step explanation:

9514 1404 393

Answer:

  5.  88.0°

  6.  13.0°

  7.  52.4°

  8.  117.8°

Step-by-step explanation:

For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...

  A = arccos((b² +c² -a²)/(2bc))

When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.

Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.

__

Additional comment

The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:

  =degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))

As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.

The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.

We want to five the lowest common multiple of these 5 numbers. We will see that the lowest common multiple is:

[tex]98^{91}[/tex]

A multiple of a number N is any product between N and a positive integer. Here we want to get the smallest common multiple of the 5 numbers in the given set.

Here, the set is:

[tex]{98^{53}, 98^{64}, 98^{73}, 98^{88}, 98^{91}[/tex]

Remember the rule:

[tex]a^n*a^m = a^{n + m}[/tex]

Then we can see that:

[tex]98^{91} = 98^{91}*1 = 98^{88}*98^{3} = 98^{73}*98^{18} = 98^{64}*98^{27} = 98^{53}*98^{38}[/tex]

So:

[tex]98^{91}[/tex]

Is a common multiple of all the numbers in the set, and is the smallest common multiple because is equal to the largest number in the set.

If you want to learn more, you can read:

https://brainly.com/question/1055068

Answer:4

Step-by-step explanation:

Just did this question

Answer:

A) 0.54

B) 4.32

C) 2.4

D)  336

Step-by-step explanation:

A)Expected value (you) = (84 × 3) × [tex]\frac{1}{140}[/tex] × (0.3)× [tex]\frac{139}{140}[/tex]

                                       = 0.54

B) Expected value (you) 8 tickets = 0.54 × 8

                                                       = 4.32

C) Expected value ( for PTO) = ( 3 - 84) × [tex]\frac{1}{140}[/tex] + ( 3 - 0 ) × [tex]\frac{139}{140}[/tex]

                                                = 2.4

D) For 140 raffle tickets = 2.4 × 140

                                       = 336

Answer:

no idea

Step-by-step explanation:

bro

Answer:

20

Step-by-step explanation:

Hope this helps

Dilation involves changing the size of a figure

The endpoints of the image are (-2,-1) and (6,1)

The coordinates of the pre-image are give as:

(2,2) and (6,2)

The scale factor is given as:

k = 2

The center of dilation is given as:

(a,b) = (6,5)

The coordinates of the image are then calculated as:

[tex](x,y) \to (k(x -a) + a, k(y -b) + b)[/tex]

For (2,2), we have:

[tex](x,y) \to (2(2 -6) + 6, 2(2 - 5) + 5)[/tex]

[tex](x,y) \to (-2, -1)[/tex]

For (6,2), we have:

[tex](x,y) \to (2(6 -6) + 6, 2(2 - 5) + 5)[/tex]

[tex](x,y) \to (6, -1)[/tex]

Hence, the endpoints of the image are (-2,-1) and (6,1)

Read more about dilation at:

https://brainly.com/question/3457976

Answer: Ok, but can you tell me what you want me to help you with you just put “ The answer to that question was 43.93 not 43.98” and I don’t understand.

Step-by-step explanation:

Answer:

A The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.

Step-by-step explanation:

Given :

Percentage rented science textbooks = pS

Percentage rented Literature textbooks = pL

To test if percentage Science textbooks in the state was greater than percentage Literature textbooks :

H0: pS = pL

Ha: pS > pL

Pvalue = 0.035 ; α = 0.05

Decision Region :

If Pvalue < α ; We reject H0

In the scenario above,

Pvalue < α ; 0.035 < 0.05 ; Hence, we reject the Null ;

We conclude that There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.

Answer:

39 degree

Step-by-step explanation:

180-90-51=39

Answer: As n increases, p increases.

The question is asking you about the equation of a line, p=2n-10

The equation of a line is y=mx+b

In this equation, m is the slope (how much you go up or down and then over)

In this equation, b is the y-intercept (where it intersects with the y line at 0)

Now with this knowledge, p=2n-10

P stands for y and N stands for x (its the same thing even if different)

2n means the m=2

Since the slope is positve it goes up 2 and then right 1

The y-int is -10

Now the options want to know what happens as n increases

Since the slope is positive when the x increases you know that the y increases so

As n increases, p increases.

(also i attached what the graph looks like)

I hope this explanation could help, please let me know if you do not understand still and if you could mark brainliest I would greatly appreciate it.

Answer: as n increases p increases

Step-by-step explanation:

Answer:

Accrued Amount: 10955.51, Total Interest: 2455.51

Step-by-step explanation:

A = P(1+r/n)nt

CI = A-P

Where,

CI = Compounded interest

A = Final amount

P = Principal

t = Time period in years

n = Number of compounding periods per year

r = Interest rate

Answer:

Last Option: The range of weights for Greg's pumpkins is the least

Step-by-step explanation:

iReady Diagnostic

Answer:

√(100)

Step-by-step explanation:

√(5) × √(20)

√(5 × 20)

√(100)

Answer:

The number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40.

Step-by-step explanation:

IMPORTANT INFORMATION: The number of noncommercial orbital launches was two more than twice the number of commercial orbital launches.

Let's say that the number of commercial orbital launches is equal to x. Now, the number of noncommercial orbital launches is equal to 2x+2.

We are told that if we add the number of commercial and noncommercial orbital launches together we will get 59.

Therefore, if we add 2x+2 with x we should get 59:

2x+2+x=59

3x+2=59

3x=57

x=19

This is how we can come to the answer that the number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40 (2x+2=2*19+2=38+2=40).

Hope this helps!

Answer:

THANK YOU! YOU TOO! :)

Step-by-step explanation:

Have a nice dayyyyyy <3

Answer:

HAPPY EARTH DAY!!!!

:)